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Bell work: Solve for x in each diagram. Round to the nearest tenth if necessary. 1. 2.

Identify tangents, secants, and chords and use properties of tangents to solve problems involving planets. Learn about the interior and exterior of circles and explore tangent lines. Includes examples and assignments.

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Bell work: Solve for x in each diagram. Round to the nearest tenth if necessary. 1. 2.

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  1. Bell work: Solve for x in each diagram. Round to the nearest tenth if necessary. 1. 2.

  2. Rigor : Identify tangents, secants, and chords and use properties of tangents to solve problems. Relevance: Solve problems involving planets

  3. The interior of a circleis the set of all points inside the circle. • The exterior of a circleis the set of all points outside the circle.

  4. Example 1: Identify each line or segment that intersects P. chords: secant: tangent: diameter: radii:

  5. Example 2 • Find the length of each radius. • b) Identify the point of tangency • c) write the equation of the tangent line at this point.

  6. A common tangentis a line that is tangent to two circles.

  7. Exploring Tangent Lines

  8. Turn in your core book to page 495 and highlight this theorem Note: The converse of this theorem is also true!

  9. Example 3: Space Early in its flight, the Apollo 11 spacecraft orbited Earth at an altitude of 120 miles. What was the distance from the spacecraft to Earth’s horizon rounded to the nearest mile? The radius of the Earth is about 4000 miles

  10. Example 4: View from the Summit Kilimanjaro, the tallest mountain in Africa, is 19,340 ft tall. What is the distance from the summit of Kilimanjaro to the horizon to the nearest mile?

  11. Last concept for today!

  12. Example 5: HK and HG are tangent to F. Find HG.

  13. 12 – 1 Assignment • Heading: 12-1 Textbook pg 797 – 799 # 6 – 12, 15, 26, 27 • Due Monday 4/11 for periods 1, 3, 5, & 7 • Due Thursday 4/14 for periods 2 & 4

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